Introduction

Angles are the fundamental concept of geometry in mathematics. An angle is a geometrical figure formed by joining two rays at one of their endpoints. These are measured in degrees or in radians. There are various types of angles based on their measurement of degree. 0 degrees, 90 degrees, 180 degrees and 360 degrees are the main angles and with respect to them rest all the angles can be classified. Some are less than 90 degrees, some are more than 90 degrees but less than 180 degrees and some are more than 180 degrees but less than 360 degrees. These are mainly acute angle, right angle, obtuse angle, straight angle, reflex angle and full rotation angle.

What is Angle

The figures which are formed by joining end-points of two rays are angles. These are the basics from which the concept of geometry begins. An angle has two components which are

• Sides

• Vertex.

The horizontal side of the angle as shown in the below figure is the initial side, and another side is the terminal side. The point at which the endpoints of two rays meet is the vertex. And the two rays are called the sides of an angle.

Types of Angles:

The following are the main types of angles:

• Acute angle

• Right angle

• Obtuse angle

• Straight angle

• Reflex angle

• Full rotation angle

Details About Each Angle

• Acute angle

The angles which are more than 0 degrees but less than 90 degrees are acute angles. Such as 45 degrees, 30 degrees, and 60 degrees.

• Right angle

The angles which are formed at 90-degree angles are the right angle.

• Obtuse angle

The angles which are more than 90 degrees but less than 180 degrees are obtuse angles. Such as 120 degrees, 150 degrees, and 145 degrees.

• Straight angle

The angles which are formed precisely at 180 degrees are straight angles.

• Reflex angle

The angles are more than 180 degrees but less than 360 degrees. Such as 275 degrees, 167 degrees, and 300 degrees.

• Full rotation angle

The angle, which is precisely 360 degrees, is a full rotation angle.